450065728 has 56 divisors (see below), whose sum is σ = 1026761472. Its totient is φ = 191737344.

The previous prime is 450065717. The next prime is 450065729. The reversal of 450065728 is 827560054.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450065729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74601 + ... + 80407.

Almost surely, 2^450065728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450065728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513380736).

450065728 is an abundant number, since it is smaller than the sum of its proper divisors (576695744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

450065728 is a wasteful number, since it uses less digits than its factorization.

450065728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5999 (or 5989 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 450065728 is about 21214.7526028469. The cubic root of 450065728 is about 766.3467401967.

The spelling of 450065728 in words is "four hundred fifty million, sixty-five thousand, seven hundred twenty-eight".